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Model of diffusion of medicine that is bonded inside an organic film

TitleModel of diffusion of medicine that is bonded inside an organic film
AuthorsA. O. Syromyasov1, A. S. Shurshina2, D. V. Galkin1
1National Research Ogarev Mordovia State University
2Bashkir State University
AnnotationThe paper deals with diffusion of medicine out of one-dimensional chitosan film. In contrast with earlier models, the proposed method takes into account the facts that part of the medicine is kept inside organic matrix by chemical bonds and that the matrix properties depend on the concentration of bonded matter. Besides that, change in film’s properties due to its swelling is considered. Simplicity of proposed models of medicine bonding and of matrix swelling makes it possible to solve the direct problem of diffusion analytically. This analytical result later may be used in solution of inverse diffusion problem, i.e. determination of film characteristics basing on experimental data.
Keywordsmathematical modeling in chemistry, direct problem of diffusion, variable separation method, chitosan film, chemically bonded matter
CitationSyromyasov A. O., Shurshina A. S., Galkin D. V. ''Model of diffusion of medicine that is bonded inside an organic film'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 16-20, 2018). Saransk: SVMO Publ, 2018. - pp. 150-155. Available at: http://conf.svmo.ru/files/2018/papers/paper45.pdf. - Date of access: 24.08.2019.